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Finding the Fourth Proportional to 5,414.65, 8,123.79 and 2,490.75

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Solution

The fourth proportional to 5,414.65, 8,123.79 and 2,490.75 is: 3,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.65 : 8,123.79 = 2,490.75 : x
  2. Step 2: Convert to fraction form
    5,414.65/8,123.79 = 2,490.75/x
  3. Step 3: Cross multiply
    5,414.65x = 8,123.79 × 2,490.75
  4. Step 4: Simplify right side
    5,414.65x = 20,234,339.28
  5. Step 5: Solve for x
    x = 20,234,339.28/5,414.65
  6. Step 6: Final answer
    x = 3,736.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.